Neither should a Doctor be forced to perform abortions.
Slavery is dead. If my job asks me to perform a task, any task, that I don't want to perform, they can fire me, but they can't make me do it.
And if I own the company, or I am the boss, and I don't want to do it, then they can kiss my ass.
I may be pro-gay rights but I also stand for the rights of others, just the same.